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Finding the Fourth Proportional to 1,998.28, 2,992.78 and 1,174.92

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Solution

The fourth proportional to 1,998.28, 2,992.78 and 1,174.92 is: 1,759.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.28 : 2,992.78 = 1,174.92 : x
  2. Step 2: Convert to fraction form
    1,998.28/2,992.78 = 1,174.92/x
  3. Step 3: Cross multiply
    1,998.28x = 2,992.78 × 1,174.92
  4. Step 4: Simplify right side
    1,998.28x = 3,516,277.08
  5. Step 5: Solve for x
    x = 3,516,277.08/1,998.28
  6. Step 6: Final answer
    x = 1,759.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.